Explore a comprehensive series of R programming tutorials covering a wide range of statistical concepts and applications. Learn to use R for various tasks including probability distributions, random data simulation, confidence intervals, order statistics, maximum likelihood estimation, and more. Dive into advanced topics such as multivariate statistics, generating points on a sphere, and implementing statistical tests. Practice applying R to real-world scenarios like estimating pi, calculating game probabilities, and creating visualizations. Gain hands-on experience with R programming while deepening your understanding of statistical theory and methods.
Overview
Syllabus
Using R: PMF of the Sum of K Independent Binomials.
Using R: Simulating Bivariate Normal Random Data (part 1).
Using R: Simulating Bivariate Normal Random Data (part 2).
Using R: Sample Mean and Variance - Investigating the Relationship.
Using R to Plot the Exact Sample Range Distribution for any Continuous Density Function.
Using R to Plot the Exact Sample Median Distribution for any Continuous Density Function.
Using R for a 95% CI for Population Median using Sample Order Statistics.
Discrete Order Statistics with Illustration using R.
Using R to Find an Exact CI for a Poisson Parameter.
Using R and the Relationship between the Exponential, ChiSq, and Gamma Distributions.
Using R to Calculate Exact Farkle Probabilities - Dice Rolling Game.
Using R to Generate Truncated Cauchy Random Variables.
Exponential Family: Using R to simulate and confirm the theoretical results.
Correlation between variate values and corresponding ranks (part 3): Illustration Using R..
Using R: The Multivariate Sign Test.
Generating Uniformly Distributed Points on the Surface of a Sphere.
Using R: Generating Uniformly Distributed Points on the Surface of a Sphere.
MLE of a Gumbel Distribution (part 1).
MLE for a Gumbel Distribution (part 2).
Using R to Generate a Random Sample from a Gumbel Distribution.
MLEs of a Gamma Distribution (part 2).
Method of Moments and MLEs for a Beta Distribution (part 2).
Generating Double Exponential Data from Scratch.
Using R to Generate Double Exponential Data and Calculate the MLEs.
Using R to explore the joint distribution of the sample mean and variance.
Using R to confirm the moments of sufficient statistics of an inverse gamma distribution.
Using R to find the MLEs and Method of Moments estimators for an Inverse Gamma Distribution.
Using R to test multivariate ordered alternatives with Follmann's test.
Using R: Gram-Schmidt Orthonormalization Process.
Using R: Simple Linear Regression from Scratch.
Using R: QQ-Plots versus Rankit Plots..
Using R: Shapiro-Wilk Normality Test.
Estimating Pi with Random Numbers Using R (part 1 of 2).
Estimating Pi with Random Numbers Using R (part 2 of 2).
Using R: Calculating Probability for a Bivariate Normal Random Variable.
Using R: Method of Moments and ML estimators for Beta Binomial Distribution.
Using R: Serpenski's Triangle from Numberphile's Video.
Using R to Play HIP: A Math Logic Game.
Taught by
statisticsmatt
